Atkin-Lehner |
2+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
36850n |
Isogeny class |
Conductor |
36850 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
85680 |
Modular degree for the optimal curve |
Δ |
-1011281920000 = -1 · 215 · 54 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ -2 5- 2 11- -3 8 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2351,-65502] |
[a1,a2,a3,a4,a6] |
Generators |
[62:136:1] |
Generators of the group modulo torsion |
j |
-2297925842425/1618051072 |
j-invariant |
L |
2.7045669850787 |
L(r)(E,1)/r! |
Ω |
0.33249782128854 |
Real period |
R |
1.35568155735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36850u1 |
Quadratic twists by: 5 |